DocumentCode
1159963
Title
On hidden nodes for neural nets
Author
Mirchandani, Gagan ; Cao, Wei
Author_Institution
Dept. of Comput. Sci. & Electr. Eng., Vermont Univ., Burlington, VT, USA
Volume
36
Issue
5
fYear
1989
fDate
5/1/1989 12:00:00 AM
Firstpage
661
Lastpage
664
Abstract
Recent results indicate that the number of hidden nodes (H ) in a feedforward neural net depend only on the number of input training patterns (T ). There appear to be conjectures that H is on the order of T -1 and of log2 T . A proof is given that the maximum number of separable regions (M ) in the input space is a function of both H and input space dimension (d ). The authors also show that H =M -1 and H =log2M are special cases of that formulation. M defines a lower bound on T , the number of input patterns that may be used for training. Application to some experiments are investigated
Keywords
computer graphics; computerised picture processing; neural nets; experiments; feedforward neural net; hidden nodes for neural nets; input space dimension; input training patterns; maximum number of separable regions; multilayered networks; Circuits and systems; Computer science; Feedforward neural networks; Multilayer perceptrons; Neural networks; Pattern classification; Random number generation; Shape; Sonar;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.31313
Filename
31313
Link To Document